The diagram represents a 12 cm by 4 cm rectangle.
1 answer:
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Question:
The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
5n = 3d and n - 2 = 2d - 4
5n = 3d and 2n - 4 = d - 2
3n = 5d and 2n - 4 = d - 2
Answer:
5n = 3d and 2n – 4 = d – 2
Solution:
Let n be the numerator of the fraction and d be the denominator of the fraction.
Given the numerator and denominator of a fraction are in the ratio of 3 to 5.
This can be written as n : d = 3 : 5.
⇒ – – – – (1)
Do cross multiplication, we get
⇒ 5n = 3d
When the numerator and denominator are decreased by 2, the fraction is equal to .
⇒
Do cross multiplication, we get
⇒ 2(n –2)=1(d – 2)
⇒ 2n – 4 = d – 2
Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.
Answer: D.
Step-by-step explanation: The smaller the coefficient of a fraction by the quadratic function (the x squared value), the more narrow the graph becomes. 1/4 is larger than 1/9 and the other two whole numbers are still larger than 1/9. Even though -1 is less than 1/9, this only makes the graph flip, not make it any more narrow. Fractions are what squeeze graphs, negatives do not make a difference (i.e. -1/4 is the same size of narrowness as 1/4).